%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU449+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:51 AM UTC 2026 % Result : Theorem 0.45s 0.63s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU449+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n019.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:34:19 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.63 % SZS status Theorem % 0.45/0.63 % SZS output start Proof % 0.45/0.63 ( % 0.45/0.63 (declare-sort $$unsorted 0) % 0.45/0.63 (declare-const tptp.k7_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.k4_relat_1 (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.k8_setfam_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.45/0.63 (declare-const tptp.k6_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.k4_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.k3_pua2mss1 (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.k6_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.k8_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.m1_eqrel_1 (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.k5_relset_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 0.45/0.63 (define @t1 () (@var "E" $$unsorted)) % 0.45/0.63 (define @t2 () (@var "B" $$unsorted)) % 0.45/0.63 (define @t3 () (@var "A" $$unsorted)) % 0.45/0.63 (define @t4 () (tptp.k6_relset_1 @t3 @t2 @t1)) % 0.45/0.63 (define @t5 () (@var "D" $$unsorted)) % 0.45/0.63 (define @t6 () (tptp.k8_relset_2 @t2 @t3 @t5 @t4)) % 0.45/0.63 (define @t7 () (@var "C" $$unsorted)) % 0.45/0.63 (define @t8 () (tptp.k8_relset_2 @t3 @t2 @t7 @t1)) % 0.45/0.63 (define @t9 () (and (tptp.r1_tarski @t7 (tptp.k8_relset_2 @t2 @t3 @t8 @t4)) (tptp.r1_tarski @t5 (tptp.k8_relset_2 @t3 @t2 @t6 @t1)))) % 0.45/0.63 (define @t10 () (tptp.m2_relset_1 @t1 @t3 @t2)) % 0.45/0.63 (define @t11 () (@list @t1)) % 0.45/0.63 (define @t12 () (forall @t11 (=> @t10 @t9))) % 0.45/0.63 (define @t13 () (tptp.k1_zfmisc_1 @t2)) % 0.45/0.63 (define @t14 () (tptp.m1_subset_1 @t5 @t13)) % 0.45/0.63 (define @t15 () (=> @t14 @t12)) % 0.45/0.63 (define @t16 () (@list @t5)) % 0.45/0.63 (define @t17 () (forall @t16 @t15)) % 0.45/0.63 (define @t18 () (tptp.k1_zfmisc_1 @t3)) % 0.45/0.63 (define @t19 () (tptp.m1_subset_1 @t7 @t18)) % 0.45/0.63 (define @t20 () (=> @t19 @t17)) % 0.45/0.63 (define @t21 () (@list @t3 @t2 @t7)) % 0.45/0.63 (define @t22 () (forall @t21 @t20)) % 0.45/0.63 (define @t23 () (not @t22)) % 0.45/0.63 (define @t24 () (tptp.m1_eqrel_1 @t2 @t3)) % 0.45/0.63 (define @t25 () (@list @t2)) % 0.45/0.63 (define @t26 () (@list @t3)) % 0.45/0.63 (define @t27 () (tptp.k5_relset_2 @t3 @t2)) % 0.45/0.63 (define @t28 () (@list @t3 @t2)) % 0.45/0.63 (define @t29 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t18))) % 0.45/0.63 (define @t30 () (tptp.v1_relat_1 @t7)) % 0.45/0.63 (define @t31 () (tptp.m1_relset_1 @t7 @t3 @t2)) % 0.45/0.63 (define @t32 () (@list @t7)) % 0.45/0.63 (define @t33 () (tptp.v1_relat_1 @t3)) % 0.45/0.63 (define @t34 () (tptp.r2_hidden @t3 @t2)) % 0.45/0.63 (define @t35 () (tptp.k4_relset_2 @t3 @t2 @t7 @t5)) % 0.45/0.63 (define @t36 () (tptp.m1_subset_1 @t7 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t3 @t13)))) % 0.45/0.63 (define @t37 () (@list @t3 @t2 @t7 @t5)) % 0.45/0.63 (define @t38 () (tptp.k6_relset_2 @t3 @t2 @t7)) % 0.45/0.63 (define @t39 () (tptp.m1_subset_1 @t7 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t2 @t3)))) % 0.45/0.63 (define @t40 () (tptp.v1_relat_1 tptp.k1_xboole_0)) % 0.45/0.63 (define @t41 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.45/0.63 (define @t42 () (tptp.v1_xboole_0 @t3)) % 0.45/0.63 (define @t43 () (not @t42)) % 0.45/0.63 (define @t44 () (tptp.m1_subset_1 @t3 @t2)) % 0.45/0.63 (define @t45 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t7))) % 0.45/0.63 (define @t46 () (tptp.k4_relat_1 @t3)) % 0.45/0.63 (define @t47 () (tptp.v1_relat_1 @t46)) % 0.45/0.63 (define @t48 () (tptp.k2_zfmisc_1 @t3 @t2)) % 0.45/0.63 (define @t49 () (tptp.k1_zfmisc_1 @t48)) % 0.45/0.63 (define @t50 () (tptp.m1_subset_1 @t7 @t49)) % 0.45/0.63 (define @t51 () (tptp.v1_xboole_0 @t2)) % 0.45/0.63 (define @t52 () (not @t51)) % 0.45/0.63 (define @t53 () (tptp.m1_subset_1 @t2 @t18)) % 0.45/0.63 (define @t54 () (tptp.k7_relset_2 @t3 @t2 @t7 @t5)) % 0.45/0.63 (define @t55 () (tptp.m1_subset_1 @t5 @t49)) % 0.45/0.63 (define @t56 () (tptp.k6_relset_1 @t3 @t2 @t7)) % 0.45/0.63 (define @t57 () (tptp.r1_tarski @t3 @t3)) % 0.45/0.63 (define @t58 () (forall @t28 @t57)) % 0.45/0.63 (define @t59 () (tptp.m2_relset_1 @t7 @t3 @t2)) % 0.45/0.63 (define @t60 () (tptp.k8_relset_2 @t3 @t2 @t7 @t5)) % 0.45/0.63 (define @t61 () (and @t19 @t55)) % 0.45/0.63 (define @t62 () (forall @t21 (= @t59 @t31))) % 0.45/0.63 (define @t63 () (tptp.m2_relset_1 @t56 @t2 @t3)) % 0.45/0.63 (define @t64 () (forall @t21 (=> @t31 @t63))) % 0.45/0.63 (define @t65 () (tptp.m1_subset_1 @t60 @t13)) % 0.45/0.63 (define @t66 () (forall @t37 (=> @t61 @t65))) % 0.45/0.63 (define @t67 () (forall @t21 (=> @t59 @t50))) % 0.45/0.63 (define @t68 () (= (tptp.r1_tarski @t7 @t6) (tptp.r1_tarski @t5 @t8))) % 0.45/0.63 (define @t69 () (forall @t11 (=> @t10 @t68))) % 0.45/0.63 (define @t70 () (=> @t14 @t69)) % 0.45/0.63 (define @t71 () (forall @t16 @t70)) % 0.45/0.63 (define @t72 () (=> @t19 @t71)) % 0.45/0.63 (define @t73 () (forall @t21 @t72)) % 0.45/0.63 (define @t74 () (@var "BOUND_VARIABLE_7701" $$unsorted)) % 0.45/0.63 (define @t75 () (tptp.k6_relset_1 @t3 @t2 @t74)) % 0.45/0.63 (define @t76 () (@var "BOUND_VARIABLE_7699" $$unsorted)) % 0.45/0.63 (define @t77 () (and (tptp.r1_tarski @t7 (tptp.k8_relset_2 @t2 @t3 (tptp.k8_relset_2 @t3 @t2 @t7 @t74) @t75)) (tptp.r1_tarski @t76 (tptp.k8_relset_2 @t3 @t2 (tptp.k8_relset_2 @t2 @t3 @t76 @t75) @t74)))) % 0.45/0.63 (define @t78 () (not (tptp.m2_relset_1 @t74 @t3 @t2))) % 0.45/0.63 (define @t79 () (not (tptp.m1_subset_1 @t76 @t13))) % 0.45/0.63 (define @t80 () (not @t19)) % 0.45/0.63 (define @t81 () (or @t80 @t79 @t78 @t77)) % 0.45/0.63 (define @t82 () (or @t79 @t78 @t77)) % 0.45/0.63 (define @t83 () (or @t80 @t82)) % 0.45/0.63 (define @t84 () (@list @t3 @t2 @t7 @t76 @t74)) % 0.45/0.63 (define @t85 () (forall @t84 @t83)) % 0.45/0.63 (define @t86 () (@list @t76 @t74)) % 0.45/0.63 (define @t87 () (forall @t86 @t83)) % 0.45/0.63 (define @t88 () (forall @t86 @t82)) % 0.45/0.63 (define @t89 () (@var "BOUND_VARIABLE_7676" $$unsorted)) % 0.45/0.63 (define @t90 () (or @t80 @t88)) % 0.45/0.63 (define @t91 () (tptp.k6_relset_1 @t3 @t2 @t89)) % 0.45/0.63 (define @t92 () (and (tptp.r1_tarski @t7 (tptp.k8_relset_2 @t2 @t3 (tptp.k8_relset_2 @t3 @t2 @t7 @t89) @t91)) (tptp.r1_tarski @t5 (tptp.k8_relset_2 @t3 @t2 (tptp.k8_relset_2 @t2 @t3 @t5 @t91) @t89)))) % 0.45/0.63 (define @t93 () (not (tptp.m2_relset_1 @t89 @t3 @t2))) % 0.45/0.63 (define @t94 () (not @t14)) % 0.45/0.63 (define @t95 () (or @t94 @t93 @t92)) % 0.45/0.63 (define @t96 () (@list @t5 @t89)) % 0.45/0.63 (define @t97 () (forall @t96 @t95)) % 0.45/0.63 (define @t98 () (or @t93 @t92)) % 0.45/0.63 (define @t99 () (or @t94 @t98)) % 0.45/0.63 (define @t100 () (forall @t96 @t99)) % 0.45/0.63 (define @t101 () (@list @t89)) % 0.45/0.63 (define @t102 () (forall @t101 @t99)) % 0.45/0.63 (define @t103 () (forall @t101 @t98)) % 0.45/0.63 (define @t104 () (@list @t1)) % 0.45/0.63 (define @t105 () (or @t94 @t103)) % 0.45/0.63 (define @t106 () (not @t10)) % 0.45/0.63 (define @t107 () (forall @t11 (or @t106 @t9))) % 0.45/0.63 (define @t108 () (forall @t84 @t81)) % 0.45/0.63 (define @t109 () (@quantifiers_skolemize @t108 1)) % 0.45/0.63 (define @t110 () (tptp.k1_zfmisc_1 @t109)) % 0.45/0.63 (define @t111 () (@quantifiers_skolemize @t108 3)) % 0.45/0.63 (define @t112 () (tptp.m1_subset_1 @t111 @t110)) % 0.45/0.63 (define @t113 () (@quantifiers_skolemize @t108 4)) % 0.45/0.63 (define @t114 () (@quantifiers_skolemize @t108 0)) % 0.45/0.63 (define @t115 () (tptp.k6_relset_1 @t114 @t109 @t113)) % 0.45/0.63 (define @t116 () (tptp.k8_relset_2 @t109 @t114 @t111 @t115)) % 0.45/0.63 (define @t117 () (tptp.r1_tarski @t111 (tptp.k8_relset_2 @t114 @t109 @t116 @t113))) % 0.45/0.63 (define @t118 () (@quantifiers_skolemize @t108 2)) % 0.45/0.63 (define @t119 () (tptp.k8_relset_2 @t114 @t109 @t118 @t113)) % 0.45/0.63 (define @t120 () (tptp.r1_tarski @t118 (tptp.k8_relset_2 @t109 @t114 @t119 @t115))) % 0.45/0.63 (define @t121 () (and @t120 @t117)) % 0.45/0.63 (define @t122 () (tptp.m2_relset_1 @t113 @t114 @t109)) % 0.45/0.63 (define @t123 () (not @t122)) % 0.45/0.63 (define @t124 () (not @t112)) % 0.45/0.63 (define @t125 () (tptp.k1_zfmisc_1 @t114)) % 0.45/0.63 (define @t126 () (tptp.m1_subset_1 @t118 @t125)) % 0.45/0.63 (define @t127 () (not @t126)) % 0.45/0.63 (define @t128 () (or @t127 @t124 @t123 @t121)) % 0.45/0.63 (define @t129 () (@list true)) % 0.45/0.63 (define @t130 () (@list @t128)) % 0.45/0.63 (define @t131 () (@var "BOUND_VARIABLE_7957" $$unsorted)) % 0.45/0.63 (define @t132 () (@var "BOUND_VARIABLE_7955" $$unsorted)) % 0.45/0.63 (define @t133 () (= (tptp.r1_tarski @t7 (tptp.k8_relset_2 @t2 @t3 @t132 (tptp.k6_relset_1 @t3 @t2 @t131))) (tptp.r1_tarski @t132 (tptp.k8_relset_2 @t3 @t2 @t7 @t131)))) % 0.45/0.63 (define @t134 () (not (tptp.m2_relset_1 @t131 @t3 @t2))) % 0.45/0.63 (define @t135 () (not (tptp.m1_subset_1 @t132 @t13))) % 0.45/0.63 (define @t136 () (or @t80 @t135 @t134 @t133)) % 0.45/0.63 (define @t137 () (or @t135 @t134 @t133)) % 0.45/0.63 (define @t138 () (or @t80 @t137)) % 0.45/0.63 (define @t139 () (@list @t3 @t2 @t7 @t132 @t131)) % 0.45/0.63 (define @t140 () (forall @t139 @t138)) % 0.45/0.63 (define @t141 () (@list @t132 @t131)) % 0.45/0.63 (define @t142 () (forall @t141 @t138)) % 0.45/0.63 (define @t143 () (forall @t141 @t137)) % 0.45/0.63 (define @t144 () (@var "BOUND_VARIABLE_7935" $$unsorted)) % 0.45/0.63 (define @t145 () (or @t80 @t143)) % 0.45/0.63 (define @t146 () (= (tptp.r1_tarski @t7 (tptp.k8_relset_2 @t2 @t3 @t5 (tptp.k6_relset_1 @t3 @t2 @t144))) (tptp.r1_tarski @t5 (tptp.k8_relset_2 @t3 @t2 @t7 @t144)))) % 0.45/0.63 (define @t147 () (not (tptp.m2_relset_1 @t144 @t3 @t2))) % 0.45/0.63 (define @t148 () (or @t94 @t147 @t146)) % 0.45/0.63 (define @t149 () (@list @t5 @t144)) % 0.45/0.63 (define @t150 () (forall @t149 @t148)) % 0.45/0.63 (define @t151 () (or @t147 @t146)) % 0.45/0.63 (define @t152 () (or @t94 @t151)) % 0.45/0.63 (define @t153 () (forall @t149 @t152)) % 0.45/0.63 (define @t154 () (@list @t144)) % 0.45/0.63 (define @t155 () (forall @t154 @t152)) % 0.45/0.63 (define @t156 () (forall @t154 @t151)) % 0.45/0.63 (define @t157 () (or @t94 @t156)) % 0.45/0.63 (define @t158 () (forall @t11 (or @t106 @t68))) % 0.45/0.63 (define @t159 () (tptp.r1_tarski @t116 @t116)) % 0.45/0.63 (define @t160 () (tptp.m1_subset_1 @t116 @t125)) % 0.45/0.63 (define @t161 () (not @t160)) % 0.45/0.63 (define @t162 () (or @t161 @t124 @t123 (= @t159 @t117))) % 0.45/0.63 (define @t163 () (forall @t139 @t136)) % 0.45/0.63 (define @t164 () (= @t117 @t159)) % 0.45/0.63 (define @t165 () (or @t161 @t124 @t123 @t164)) % 0.45/0.63 (define @t166 () (@list false)) % 0.45/0.63 (define @t167 () (not @t55)) % 0.45/0.63 (define @t168 () (@list @t114 @t109 @t113)) % 0.45/0.63 (define @t169 () (tptp.m1_relset_1 @t113 @t114 @t109)) % 0.45/0.63 (define @t170 () (forall @t21 (= @t31 @t59))) % 0.45/0.63 (define @t171 () (= @t169 @t122)) % 0.45/0.63 (define @t172 () (= @t122 @t169)) % 0.45/0.63 (define @t173 () (@list false false)) % 0.45/0.63 (define @t174 () (tptp.m2_relset_1 @t115 @t109 @t114)) % 0.45/0.63 (define @t175 () (not @t169)) % 0.45/0.63 (define @t176 () (or @t175 @t174)) % 0.45/0.63 (define @t177 () (tptp.m1_subset_1 @t115 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t109 @t114)))) % 0.45/0.63 (define @t178 () (not @t174)) % 0.45/0.63 (define @t179 () (or @t178 @t177)) % 0.45/0.63 (define @t180 () (not @t177)) % 0.45/0.63 (define @t181 () (or @t124 @t180 @t160)) % 0.45/0.63 (define @t182 () (@list false false false)) % 0.45/0.63 (define @t183 () (tptp.m1_subset_1 @t113 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t114 @t109)))) % 0.45/0.63 (define @t184 () (or @t123 @t183)) % 0.45/0.63 (define @t185 () (tptp.m1_subset_1 @t119 @t110)) % 0.45/0.63 (define @t186 () (not @t183)) % 0.45/0.63 (define @t187 () (or @t127 @t186 @t185)) % 0.45/0.63 (define @t188 () (tptp.r1_tarski @t119 @t119)) % 0.45/0.63 (define @t189 () (= @t120 @t188)) % 0.45/0.63 (define @t190 () (not @t185)) % 0.45/0.63 (define @t191 () (or @t127 @t190 @t123 @t189)) % 0.45/0.63 (define @t192 () (@list true false)) % 0.45/0.63 (define @t193 () (not @t164)) % 0.45/0.63 (assume @p1 @t23) % 0.45/0.63 (assume @p2 (forall @t26 (exists @t25 @t24))) % 0.45/0.63 (assume @p3 (forall @t28 (=> (tptp.v1_relat_1 @t2) (and (tptp.v1_relat_1 @t27) (tptp.v1_funct_1 @t27))))) % 0.45/0.63 (assume @p4 true) % 0.45/0.63 (assume @p5 (forall @t28 (=> @t24 @t29))) % 0.45/0.63 (assume @p6 (forall @t28 (exists @t32 (and @t31 @t30 (tptp.v1_funct_1 @t7))))) % 0.45/0.63 (assume @p7 (exists @t26 (and @t33 (tptp.v3_relat_1 @t3)))) % 0.45/0.63 (assume @p8 (forall @t28 (=> @t34 (not (tptp.r2_hidden @t2 @t3))))) % 0.45/0.63 (assume @p9 (forall @t37 (=> @t36 (= @t35 (tptp.k9_relat_1 @t7 @t5))))) % 0.45/0.63 (assume @p10 (forall @t21 (=> @t39 (= @t38 (tptp.k5_relset_2 @t2 @t7))))) % 0.45/0.63 (assume @p11 (forall @t26 (tptp.m1_eqrel_1 (tptp.k3_pua2mss1 @t3) @t3))) % 0.45/0.63 (assume @p12 (forall @t37 (=> @t36 (tptp.m1_subset_1 @t35 (tptp.k1_zfmisc_1 @t13))))) % 0.45/0.63 (assume @p13 (forall @t21 (=> @t39 (and (tptp.v1_funct_1 @t38) (tptp.v1_funct_2 @t38 @t13 @t18) (tptp.m2_relset_1 @t38 @t13 @t18))))) % 0.45/0.63 (assume @p14 (forall @t28 (=> @t29 (tptp.m1_subset_1 (tptp.k8_setfam_1 @t3 @t2) @t18)))) % 0.45/0.63 (assume @p15 (and @t41 @t40 (tptp.v3_relat_1 tptp.k1_xboole_0))) % 0.45/0.63 (assume @p16 (and @t41 @t40)) % 0.45/0.63 (assume @p17 (exists @t26 (and @t42 @t33))) % 0.45/0.63 (assume @p18 (exists @t26 (and @t43 @t33))) % 0.45/0.63 (assume @p19 (forall @t28 (=> @t34 @t44))) % 0.45/0.63 (assume @p20 (forall @t21 (=> (and @t34 @t45) (tptp.m1_subset_1 @t3 @t7)))) % 0.45/0.63 (assume @p21 (forall @t21 (not (and @t34 @t45 (tptp.v1_xboole_0 @t7))))) % 0.45/0.63 (assume @p22 (forall @t26 (=> @t33 (= (tptp.k4_relat_1 @t46) @t3)))) % 0.45/0.63 (assume @p23 (forall @t28 (exists @t32 @t31))) % 0.45/0.63 (assume @p24 (forall @t26 (=> @t33 @t47))) % 0.45/0.63 (assume @p25 (forall @t26 (=> @t42 @t33))) % 0.45/0.63 (assume @p26 (forall @t21 (=> @t50 @t30))) % 0.45/0.63 (assume @p27 (forall @t26 (=> @t42 (and (tptp.v1_xboole_0 @t46) @t47)))) % 0.45/0.63 (assume @p28 (forall @t28 (tptp.v1_relat_1 @t48))) % 0.45/0.63 (assume @p29 (forall @t28 (=> (and @t43 @t52) (not (tptp.v1_xboole_0 @t48))))) % 0.45/0.63 (assume @p30 (forall @t26 (=> @t43 (exists @t25 (and @t53 @t52))))) % 0.45/0.63 (assume @p31 (forall @t26 (exists @t25 (and @t53 @t51)))) % 0.45/0.63 (assume @p32 (forall @t28 (=> @t44 (or @t51 @t34)))) % 0.45/0.63 (assume @p33 (forall @t26 (=> @t42 (= @t3 tptp.k1_xboole_0)))) % 0.45/0.63 (assume @p34 (forall @t28 (not (and @t34 @t51)))) % 0.45/0.63 (assume @p35 (forall @t28 (not (and @t42 (not (= @t3 @t2)) @t51)))) % 0.45/0.63 (assume @p36 (forall @t21 (=> @t19 (forall @t16 (=> @t55 (= @t54 (tptp.k8_setfam_1 @t2 (tptp.k4_relset_2 @t18 @t2 (tptp.k6_relset_2 @t2 @t3 @t5) (tptp.k3_pua2mss1 @t7))))))))) % 0.45/0.63 (assume @p37 (forall @t21 (=> @t31 (= (tptp.k6_relset_1 @t3 @t2 @t56) @t7)))) % 0.45/0.63 (assume @p38 @t58) % 0.45/0.63 (assume @p39 (forall @t26 (exists @t25 (tptp.m1_subset_1 @t2 @t3)))) % 0.45/0.63 (assume @p40 (forall @t28 (exists @t32 @t59))) % 0.45/0.63 (assume @p41 (forall @t21 (=> @t31 (= @t56 (tptp.k4_relat_1 @t7))))) % 0.45/0.63 (assume @p42 (forall @t37 (=> @t61 (= @t60 @t54)))) % 0.45/0.63 (assume @p43 @t62) % 0.45/0.63 (assume @p44 @t64) % 0.45/0.63 (assume @p45 @t66) % 0.45/0.63 (assume @p46 @t67) % 0.45/0.63 (assume @p47 (forall @t26 (not (tptp.v1_xboole_0 @t18)))) % 0.45/0.63 (assume @p48 (forall @t28 (= (tptp.m1_subset_1 @t3 @t13) (tptp.r1_tarski @t3 @t2)))) % 0.45/0.63 (assume @p49 @t73) % 0.45/0.63 (step @p50 :rule aci_norm :args ((= @t83 @t81))) % 0.45/0.63 (step @p51 :rule cong :premises (@p50) :args (@t85)) % 0.45/0.63 (step @p52 :rule quant-merge-prenex :args ((= (forall @t21 @t87) @t85))) % 0.45/0.63 (step @p53 :rule alpha_equiv :args (@t88 (@list @t76 @t74) (@list @t5 @t89))) % 0.45/0.63 (step @p54 :rule refl :args (@t80)) % 0.45/0.63 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t90)) % 0.45/0.63 (step @p56 :rule quant-miniscope-or :args ((= @t87 @t90))) % 0.45/0.63 (step @p57 :rule trans :premises (@p56 @p55)) % 0.45/0.63 (step @p58 :rule symm :premises (@p57)) % 0.45/0.63 (step @p59 :rule cong :premises (@p58) :args ((forall @t21 (or @t80 @t97)))) % 0.45/0.63 (step @p60 :rule trans :premises (@p59 @p52)) % 0.45/0.63 (step @p61 :rule trans :premises (@p60 @p51)) % 0.45/0.63 (step @p62 :rule bool-impl-elim :args (@t19 @t97)) % 0.45/0.63 (step @p63 :rule cong :premises (@p62) :args ((forall @t21 (=> @t19 @t97)))) % 0.45/0.63 (step @p64 :rule trans :premises (@p63 @p61)) % 0.45/0.63 (step @p65 :rule aci_norm :args ((= @t99 @t95))) % 0.45/0.63 (step @p66 :rule cong :premises (@p65) :args (@t100)) % 0.45/0.63 (step @p67 :rule quant-merge-prenex :args ((= (forall @t16 @t102) @t100))) % 0.45/0.63 (step @p68 :rule alpha_equiv :args (@t103 (@list @t89) @t104)) % 0.45/0.63 (step @p69 :rule refl :args (@t94)) % 0.45/0.63 (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t105)) % 0.45/0.63 (step @p71 :rule quant-miniscope-or :args 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:premises (@p86 @p85) :args (@t20)) % 0.45/0.63 (step @p88 :rule cong :premises (@p87) :args (@t22)) % 0.45/0.63 (step @p89 :rule trans :premises (@p88 @p64)) % 0.45/0.63 (step @p90 :rule cong :premises (@p89) :args (@t23)) % 0.45/0.63 (step @p91 :rule eq_resolve :premises (@p1 @p90)) % 0.45/0.63 (step @p92 :rule skolemize :premises (@p91)) % 0.45/0.63 (step @p93 :rule bool-double-not-elim :args (@t112)) % 0.45/0.63 (step @p94 :rule refl :args (@t128)) % 0.45/0.63 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t128 (not @t124)))) % 0.45/0.63 (step @p96 :rule cnf_or_neg :args (@t128 1)) % 0.45/0.63 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 0.45/0.63 (step @p98 :rule reordering :premises (@p97) :args ((or @t112 @t128))) % 0.45/0.63 (step @p99 :rule chain_m_resolution :premises (@p98 @p92) :args (@t112 @t129 @t130)) % 0.45/0.63 (step @p100 :rule bool-double-not-elim :args (@t122)) % 0.45/0.63 (step @p101 :rule nary_cong :premises (@p94 @p100) :args ((or @t128 (not @t123)))) % 0.45/0.63 (step @p102 :rule cnf_or_neg :args (@t128 2)) % 0.45/0.63 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 0.45/0.63 (step @p104 :rule reordering :premises (@p103) :args ((or @t122 @t128))) % 0.45/0.63 (step @p105 :rule chain_m_resolution :premises (@p104 @p92) :args (@t122 @t129 @t130)) % 0.45/0.63 (step @p106 :rule aci_norm :args ((= @t138 @t136))) % 0.45/0.63 (step @p107 :rule cong :premises (@p106) :args (@t140)) % 0.45/0.63 (step @p108 :rule quant-merge-prenex :args ((= (forall @t21 @t142) @t140))) % 0.45/0.63 (step @p109 :rule alpha_equiv :args (@t143 (@list @t132 @t131) (@list @t5 @t144))) % 0.45/0.63 (step @p110 :rule nary_cong :premises (@p54 @p109) :args (@t145)) % 0.45/0.63 (step @p111 :rule quant-miniscope-or :args ((= @t142 @t145))) % 0.45/0.63 (step @p112 :rule trans :premises (@p111 @p110)) % 0.45/0.63 (step @p113 :rule symm :premises (@p112)) % 0.45/0.63 (step @p114 :rule cong :premises (@p113) :args ((forall @t21 (or @t80 @t150)))) % 0.45/0.63 (step @p115 :rule trans :premises (@p114 @p108)) % 0.45/0.63 (step @p116 :rule trans :premises (@p115 @p107)) % 0.45/0.63 (step @p117 :rule bool-impl-elim :args (@t19 @t150)) % 0.45/0.63 (step @p118 :rule cong :premises (@p117) :args ((forall @t21 (=> @t19 @t150)))) % 0.45/0.63 (step @p119 :rule trans :premises (@p118 @p116)) % 0.45/0.63 (step @p120 :rule aci_norm :args ((= @t152 @t148))) % 0.45/0.63 (step @p121 :rule cong :premises (@p120) :args (@t153)) % 0.45/0.63 (step @p122 :rule quant-merge-prenex :args ((= (forall @t16 @t155) @t153))) % 0.45/0.63 (step @p123 :rule alpha_equiv :args (@t156 (@list @t144) @t104)) % 0.45/0.63 (step @p124 :rule nary_cong :premises (@p69 @p123) :args (@t157)) % 0.45/0.63 (step @p125 :rule quant-miniscope-or :args ((= @t155 @t157))) % 0.45/0.63 (step @p126 :rule trans :premises (@p125 @p124)) % 0.45/0.63 (step @p127 :rule symm :premises (@p126)) % 0.45/0.63 (step @p128 :rule cong :premises (@p127) :args ((forall @t16 (or @t94 @t158)))) % 0.45/0.63 (step @p129 :rule trans :premises (@p128 @p122)) % 0.45/0.63 (step @p130 :rule trans :premises (@p129 @p121)) % 0.45/0.63 (step @p131 :rule bool-impl-elim :args (@t14 @t158)) % 0.45/0.63 (step @p132 :rule cong :premises (@p131) :args ((forall @t16 (=> @t14 @t158)))) % 0.45/0.63 (step @p133 :rule trans :premises (@p132 @p130)) % 0.45/0.63 (step @p134 :rule bool-impl-elim :args (@t10 @t68)) % 0.45/0.63 (step @p135 :rule cong :premises (@p134) :args (@t69)) % 0.45/0.63 (step @p136 :rule cong :premises (@p82 @p135) :args (@t70)) % 0.45/0.63 (step @p137 :rule cong :premises (@p136) :args (@t71)) % 0.45/0.63 (step @p138 :rule trans :premises (@p137 @p133)) % 0.45/0.63 (step @p139 :rule cong :premises (@p86 @p138) :args (@t72)) % 0.45/0.63 (step @p140 :rule cong :premises (@p139) :args (@t73)) % 0.45/0.63 (step @p141 :rule trans :premises (@p140 @p119)) % 0.45/0.63 (step @p142 :rule eq_resolve :premises (@p49 @p141)) % 0.45/0.63 (step @p143 :rule eq-symm :args (@t159 @t117)) % 0.45/0.63 (step @p144 :rule refl :args (@t123)) % 0.45/0.63 (step @p145 :rule refl :args (@t124)) % 0.45/0.63 (step @p146 :rule refl :args (@t161)) % 0.45/0.63 (step @p147 :rule nary_cong :premises (@p146 @p145 @p144 @p143) :args (@t162)) % 0.45/0.63 (step @p148 :rule refl :args (@t163)) % 0.45/0.63 (step @p149 :rule cong :premises (@p148 @p147) :args ((=> @t163 @t162))) % 0.45/0.63 (assume-push @p235 @t163) % 0.45/0.63 (step @p151 :rule instantiate :premises (@p142) :args ((@list @t114 @t109 @t116 @t111 @t113))) % 0.45/0.63 (step-pop @p236 :rule scope :premises (@p151)) % 0.45/0.63 (step @p152 :rule process_scope :premises (@p236) :args (@t162)) % 0.45/0.63 (step @p154 :rule eq_resolve :premises (@p152 @p149)) % 0.45/0.63 (step @p155 :rule implies_elim :premises (@p154)) % 0.45/0.63 (step @p156 :rule chain_m_resolution :premises (@p155 @p142) :args (@t165 @t166 (@list @t163))) % 0.45/0.63 (step @p157 :rule aci_norm :args ((= (or (or @t80 @t167) @t65) (or @t80 @t167 @t65)))) % 0.45/0.63 (step @p158 :rule refl :args (@t65)) % 0.45/0.63 (step @p159 :rule bool-and-de-morgan :args (@t19 @t55 true)) % 0.45/0.63 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or (not @t61) @t65))) % 0.45/0.63 (step @p161 :rule trans :premises (@p160 @p157)) % 0.45/0.63 (step @p162 :rule bool-impl-elim :args (@t61 @t65)) % 0.45/0.63 (step @p163 :rule trans :premises (@p162 @p161)) % 0.45/0.63 (step @p164 :rule cong :premises (@p163) :args (@t66)) % 0.45/0.63 (step @p165 :rule eq_resolve :premises (@p45 @p164)) % 0.45/0.63 (step @p166 :rule instantiate :premises (@p165) :args ((@list @t109 @t114 @t111 @t115))) % 0.45/0.63 (step @p167 :rule bool-impl-elim :args (@t59 @t50)) % 0.45/0.63 (step @p168 :rule cong :premises (@p167) :args (@t67)) % 0.45/0.63 (step @p169 :rule eq_resolve :premises (@p46 @p168)) % 0.45/0.63 (step @p170 :rule instantiate :premises (@p169) :args ((@list @t109 @t114 @t115))) % 0.45/0.63 (step @p171 :rule bool-impl-elim :args (@t31 @t63)) % 0.45/0.63 (step @p172 :rule cong :premises (@p171) :args (@t64)) % 0.45/0.63 (step @p173 :rule eq_resolve :premises (@p44 @p172)) % 0.45/0.63 (step @p174 :rule instantiate :premises (@p173) :args (@t168)) % 0.45/0.63 (step @p175 :rule eq-symm :args (@t59 @t31)) % 0.45/0.63 (step @p176 :rule cong :premises (@p175) :args (@t62)) % 0.45/0.63 (step @p177 :rule eq_resolve :premises (@p43 @p176)) % 0.45/0.63 (step @p178 :rule eq-symm :args (@t169 @t122)) % 0.45/0.63 (step @p179 :rule refl :args (@t170)) % 0.45/0.63 (step @p180 :rule cong :premises (@p179 @p178) :args ((=> @t170 @t171))) % 0.45/0.63 (assume-push @p237 @t170) % 0.45/0.63 (step @p182 :rule instantiate :premises (@p177) :args (@t168)) % 0.45/0.63 (step-pop @p238 :rule scope :premises (@p182)) % 0.45/0.63 (step @p183 :rule process_scope :premises (@p238) :args (@t171)) % 0.45/0.63 (step @p185 :rule eq_resolve :premises (@p183 @p180)) % 0.45/0.63 (step @p186 :rule implies_elim :premises (@p185)) % 0.45/0.63 (step @p187 :rule chain_m_resolution :premises (@p186 @p177) :args (@t172 @t166 (@list @t170))) % 0.45/0.63 (step @p188 :rule cnf_equiv_pos1 :args (@t172)) % 0.45/0.63 (step @p189 :rule reordering :premises (@p188) :args ((or @t123 @t169 (not @t172)))) % 0.45/0.63 (step @p190 :rule chain_m_resolution :premises (@p189 @p105 @p187) :args (@t169 @t173 (@list @t122 @t172))) % 0.45/0.63 (step @p191 :rule cnf_or_pos :args (@t176)) % 0.45/0.63 (step @p192 :rule reordering :premises (@p191) :args ((or @t175 @t174 (not @t176)))) % 0.45/0.63 (step @p193 :rule chain_m_resolution :premises (@p192 @p190 @p174) :args (@t174 @t173 (@list @t169 @t176))) % 0.45/0.63 (step @p194 :rule cnf_or_pos :args (@t179)) % 0.45/0.63 (step @p195 :rule reordering :premises (@p194) :args ((or @t177 @t178 (not @t179)))) % 0.45/0.63 (step @p196 :rule chain_m_resolution :premises (@p195 @p193 @p170) :args (@t177 @t173 (@list @t174 @t179))) % 0.45/0.63 (step @p197 :rule cnf_or_pos :args (@t181)) % 0.45/0.63 (step @p198 :rule reordering :premises (@p197) :args ((or @t124 @t160 @t180 (not @t181)))) % 0.45/0.63 (step @p199 :rule chain_m_resolution :premises (@p198 @p99 @p196 @p166) :args (@t160 @t182 (@list @t112 @t177 @t181))) % 0.45/0.63 (step @p200 :rule quant-unused-vars :args ((= @t58 (forall @t26 @t57)))) % 0.45/0.63 (step @p201 :rule eq_resolve :premises (@p38 @p200)) % 0.45/0.63 (step @p202 :rule instantiate :premises (@p201) :args ((@list @t116))) % 0.45/0.63 (step @p203 :rule instantiate :premises (@p142) :args ((@list @t114 @t109 @t118 @t119 @t113))) % 0.45/0.63 (step @p204 :rule instantiate :premises (@p165) :args ((@list @t114 @t109 @t118 @t113))) % 0.45/0.63 (step @p205 :rule instantiate :premises (@p169) :args (@t168)) % 0.45/0.63 (step @p206 :rule cnf_or_pos :args (@t184)) % 0.45/0.63 (step @p207 :rule reordering :premises (@p206) :args ((or @t123 @t183 (not @t184)))) % 0.45/0.63 (step @p208 :rule chain_m_resolution :premises (@p207 @p105 @p205) :args (@t183 @t173 (@list @t122 @t184))) % 0.45/0.63 (step @p209 :rule bool-double-not-elim :args (@t126)) % 0.45/0.63 (step @p210 :rule nary_cong :premises (@p94 @p209) :args ((or @t128 (not @t127)))) % 0.45/0.63 (step @p211 :rule cnf_or_neg :args (@t128 0)) % 0.45/0.63 (step @p212 :rule eq_resolve :premises (@p211 @p210)) % 0.45/0.63 (step @p213 :rule reordering :premises (@p212) :args ((or @t126 @t128))) % 0.45/0.63 (step @p214 :rule chain_m_resolution :premises (@p213 @p92) :args (@t126 @t129 @t130)) % 0.45/0.63 (step @p215 :rule cnf_or_pos :args (@t187)) % 0.45/0.63 (step @p216 :rule reordering :premises (@p215) :args ((or @t127 @t186 @t185 (not @t187)))) % 0.45/0.63 (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p208 @p204) :args (@t185 @t182 (@list @t126 @t183 @t187))) % 0.45/0.63 (step @p218 :rule cnf_or_pos :args (@t191)) % 0.45/0.63 (step @p219 :rule reordering :premises (@p218) :args ((or @t127 @t123 @t190 @t189 (not @t191)))) % 0.45/0.63 (step @p220 :rule chain_m_resolution :premises (@p219 @p214 @p105 @p217 @p203) :args (@t189 (@list false false false false) (@list @t126 @t122 @t185 @t191))) % 0.45/0.63 (step @p221 :rule instantiate :premises (@p201) :args ((@list @t119))) % 0.45/0.63 (step @p222 :rule cnf_equiv_pos2 :args (@t189)) % 0.45/0.63 (step @p223 :rule reordering :premises (@p222) :args ((or @t120 (not @t188) (not @t189)))) % 0.45/0.63 (step @p224 :rule chain_m_resolution :premises (@p223 @p221 @p220) :args (@t120 @t173 (@list @t188 @t189))) % 0.45/0.63 (step @p225 :rule cnf_or_neg :args (@t128 3)) % 0.45/0.63 (step @p226 :rule chain_m_resolution :premises (@p225 @p92) :args ((not @t121) @t129 @t130)) % 0.45/0.63 (step @p227 :rule cnf_and_neg :args (@t121)) % 0.45/0.63 (step @p228 :rule chain_m_resolution :premises (@p227 @p226 @p224) :args ((not @t117) @t192 (@list @t121 @t120))) % 0.45/0.63 (step @p229 :rule cnf_equiv_pos2 :args (@t164)) % 0.45/0.63 (step @p230 :rule reordering :premises (@p229) :args ((or @t117 (not @t159) @t193))) % 0.45/0.63 (step @p231 :rule chain_m_resolution :premises (@p230 @p228 @p202) :args (@t193 @t192 (@list @t117 @t159))) % 0.45/0.63 (step @p232 :rule cnf_or_pos :args (@t165)) % 0.45/0.63 (step @p233 :rule reordering :premises (@p232) :args ((or @t124 @t123 @t161 @t164 (not @t165)))) % 0.45/0.63 (step @p234 false :rule chain_m_resolution :premises (@p233 @p231 @p199 @p156 @p105 @p99) :args (false (@list true false false false false) (@list @t164 @t160 @t165 @t122 @t112))) % 0.45/0.63 ) % 0.45/0.63 % SZS output end Proof % 0.45/0.63 % cvc5 exiting %------------------------------------------------------------------------------